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Finding the Fourth Proportional to 243,840, 365,427.90 and 137,274.78

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Solution

The fourth proportional to 243,840, 365,427.90 and 137,274.78 is: 205,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,840 : 365,427.90 = 137,274.78 : x
  2. Step 2: Convert to fraction form
    243,840/365,427.90 = 137,274.78/x
  3. Step 3: Cross multiply
    243,840x = 365,427.90 × 137,274.78
  4. Step 4: Simplify right side
    243,840x = 50,164,034,578.36
  5. Step 5: Solve for x
    x = 50,164,034,578.36/243,840
  6. Step 6: Final answer
    x = 205,725.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.